Aspire's Library

A Place for Latest Exam wise Questions, Videos, Previous Year Papers,
Study Stuff for MCA Examinations
  • Jamia Millia Islamia MCA
    Previous Year Questions

Jamia Millia Islamia MCA Previous Year Questions (PYQs)

Jamia Millia Islamia MCA Remainder PYQ

Jamia Millia Islamia MCA PYQ
Find the least number which leaves a remainder of 3 when divided by 5, 6, 7 and 8, but leaves no remainder when divided by 9.





Go to Discussion
Jamia Millia Islamia MCA Previous Year PYQ Jamia Millia Islamia MCA JAMIA MILLIA ISLAMIA MCA 2018 PYQ

Solution

Let $N\equiv 3\pmod{\operatorname{lcm}(5,6,7,8)}$. $\operatorname{lcm}(5,6,7,8)=840$. So $N=840k+3$. For divisibility by $9$: $840k+3\equiv 0\pmod{9} \Rightarrow 3k+3\equiv 0\pmod{9} \Rightarrow k\equiv 2\pmod{3}$. Smallest $k=2 \Rightarrow N=1680+3=1683$.
Jamia Millia Islamia MCA PYQ
 A man packs boxes into parcels. If he packs 3, 4, 5 or 6 in a parcel, he is left with one over; if he packs 7 in a parcel, none is left. What is the number of boxes?





Go to Discussion
Jamia Millia Islamia MCA Previous Year PYQ Jamia Millia Islamia MCA JAMIA MILLIA ISLAMIA MCA 2021 PYQ

Solution

N ≡ 1 (mod 3,4,5,6) ⇒ N ≡ 1 (mod 60). Also N ≡ 0 (mod 7).
So 60m+1 ≡ 0 (mod 7) ⇒ 4m+1 ≡ 0 ⇒ m ≡ 5 (mod 7) ⇒ smallest N = 60×5+1 = 301.

Jamia Millia Islamia MCA

Online Test Series,
Information About Examination,
Syllabus, Notification
and More.

Click Here to
View More

Jamia Millia Islamia MCA

Online Test Series,
Information About Examination,
Syllabus, Notification
and More.

Click Here to
View More
Limited Seats
× Aspire MCA Promotion

Game Changer NIMCET Test Series 2026

Boost your preparation with mock tests, analysis and rank-focused practice.

JOIN NOW
Ask Your Question or Put Your Review.

loading...